The last phase of shaping the paddle is to remove everything that isn’t paddle shaped. Pare the loom, center handle, down to a round shape. Shape the oar portions, starting with nearly a diamond near the center, tapering evenly to thin softly arched tips. Knock off all the sharp edges so the entire length of the paddle will be easy on the hands.
Primary tools for this work are a simple ancient Stanley spoke shave and a collection of sharp steel card scrapers. (How to sharpen a scraper.)
Update July 31:
Same paddle tip after 4 coats of tung oil.